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Simplifying (2x + -1y) + -1(3x + -4y) = 0 Remove parenthesis around (2x + -1y) 2x + -1y + -1(3x + -4y) = 0 2x + -1y + (3x * -1 + -4y * -1) = 0 2x + -1y + (-3x + 4y) = 0 Reorder the terms: 2x + -3x + -1y + 4y = 0 Combine like terms: 2x + -3x = -1x -1x + -1y + 4y = 0 Combine like terms: -1y + 4y = 3y -1x + 3y = 0 Solving -1x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -1x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 0 + -3y -1x = 0 + -3y Remove the zero: -1x = -3y Divide each side by '-1'. x = 3y Simplifying x = 3y
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